Question

two supplementary angles are in the ratio 2 is to 3 find the angles​

Answer 1

Step-by-step explanation:

2x + 3x = 180

5x = 180

x = 180/5

x = 36

first angle = 2x = 36×2 = 72

second angle = 3x = 36 × 3 = 108

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The angles are 72° and 108°.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Ratio of the angles = 2 : 3

To Find :

The angles

Solution :

The angles are Supplementary Angles, which means when the angles are added, the sum is 180°.

Consider -

• One Angle as 2x
• Second angle as 3x

★ $\boxed{\sf{2x+3x=180}}$

$\longrightarrow$ 2x + 3x = 180

$\longrightarrow$ 5x = 180

$\longrightarrow$ x = 180/5

$\longrightarrow$ x = 36

$\rule{300}{1.5}$

★ Value of 2x

$\longrightarrow$ 2 × 36

$\longrightarrow$ 72

One Angle = 72°

$\rule{300}{1.5}$

★ Value of 3x

$\longrightarrow$ 3 × 36

$\longrightarrow$ 108

Second Angle = 108°

$\therefore$ The angles are 72° and 108°.